Why does my side profile look incredibly recessed and hideous in one photo and fine in the other? (Photos)

Thank you for your question and photos! it is difficult to assess your profile without an in-person consultation; however, I do not believe the photos provided are a good representation of your profile. They are taken from different angles and in different lighting. I suggest keeping the photos more consistent if you are trying to compare the two. If you are concerned with the aesthetic of your facial features, I recommend scheduling an in-person consultation with a board-certified facial plastic surgeon to express concerns and talk about options.
Best of luck,
Dr. Kian
 

Neither one of your photos is a true profile, because your head is slightly turned in both.  Based on the photos you did provide, it does not appear to me that you have any recession of your chin.  An examination in person always provides the most information though.